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Finding the Fourth Proportional to 331,810.34, 497,717.28 and 82,492.34

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Solution

The fourth proportional to 331,810.34, 497,717.28 and 82,492.34 is: 123,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,810.34 : 497,717.28 = 82,492.34 : x
  2. Step 2: Convert to fraction form
    331,810.34/497,717.28 = 82,492.34/x
  3. Step 3: Cross multiply
    331,810.34x = 497,717.28 × 82,492.34
  4. Step 4: Simplify right side
    331,810.34x = 41,057,860,597.05
  5. Step 5: Solve for x
    x = 41,057,860,597.05/331,810.34
  6. Step 6: Final answer
    x = 123,738.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.